Publication Title
Topology and its Applications
Document Type
Article
Department or Program
Mathematics
Publication Date
4-15-2021
Keywords
Cohen group, Homotopy nilpotency, Homotopy space form, Hopf-James invariant, James construction, Nilpotency class, p-localized space, p-primary (homotopy) exponent, Projective space, Samelson product, Whitehead length, Whitehead product
Abstract
We give estimations of the nilpotency class and the p-primary exponent of the total Cohen groups [Ω(Sr+1),Ω(X)] especially, when X is the projective space over K=R,C, the field of reals or complex numbers and H, the quaternionic skew R-algebra.
Recommended Citation
Golasinski, M. Goncalves, D. and Wong, P. 2021. "On exponent and nilpotency of [Ω(Sr+1),Ω(KPn)]." Topology and its Applications. 293. https://doi.org/10.1016/j.topol.2020.107567
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Copyright Note
This is the author's version of the work. This publication appears in Bates College's institutional repository by permission of the copyright owner for personal use, not for redistribution.
Required Publisher's Statement
Original version is available from the publisher at: https://doi.org/10.1016/j.topol.2020.107567